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Finding the Fourth Proportional to 1,186.07, 1,636.83 and 662.09

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Solution

The fourth proportional to 1,186.07, 1,636.83 and 662.09 is: 913.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,186.07 : 1,636.83 = 662.09 : x
  2. Step 2: Convert to fraction form
    1,186.07/1,636.83 = 662.09/x
  3. Step 3: Cross multiply
    1,186.07x = 1,636.83 × 662.09
  4. Step 4: Simplify right side
    1,186.07x = 1,083,728.77
  5. Step 5: Solve for x
    x = 1,083,728.77/1,186.07
  6. Step 6: Final answer
    x = 913.71

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.